多点地震输入的反应谱法研究
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摘要
提出了一种计算多点输入下结构最大地震内力的新反应谱法(MRSM-AD)。不同于以往的多点输入反应谱法,这种方法不再将结构的绝对位移反应分解成拟静力和动力分量,而是直接利用基于结构绝对位移反应的动力方程进行反应谱理论的分析,简化了多点输入反应谱法中的组合规则,提高了结构计算分析的效率。比较了结构算例的时程法计算结果和MRSM-AD法的分析结果,验证了MRSM-AD法的正确性。
A response spectrum method was proposed for the seismic analysis of structural seismic force responses to multi-support excitations. Instead of partitioning the total structural response into the pseudo-static and dynamic components, the absolute displacement formulation was directly utilized in the method and thus the response spectrum combination rule was simplified for multi-support excitations. The seismic response of a structural example was studied, whereby a good agreement between the results of the time history method and the proposed method showed the validity of the latter method.
A response spectrum method was proposed for the seismic analysis of structural seismic force responses to multi-support excitations. Instead of partitioning the total structural response into the pseudo-static and dynamic components, the absolute displacement formulation was directly utilized in the method and thus the response spectrum combination rule was simplified for multi-support excitations. The seismic response of a structural example was studied, whereby a good agreement between the results of the time history method and the proposed method showed the validity of the latter method.
引文
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[3]Heredia-zavoni E,Vanmarcke E H.Seismic randomvibration analysis of multi-support structural systems[J].Journal of Engineering Mechanic,ASCE,1994,120(5):1107―1128.
[4]Su L,Dong S L,Kato S.A new average response spectrum method for linear response analysis of structures to spatial earthquake ground motions[J].Engineering Structures,2006,28(13):1835―1842.
[5]Clough R W,Penzien J.Dynamics of structures[M].3rd ed.New York:Mc Graw Hill,1993:455―458.
[6]孙景江,江近仁.与规范反应谱相对应的金井清谱的谱参数[J].世界地震工程,1990,8(1):42―48.Sun Jingjiang,Jiang Jinren.Parameters of Kanai-Tajimi power spectrum according to the response spectrum of Chinese code[J].World Information on Earthquake Engineering,1990,8(1):42―48.
[7]Luco J E,Wong H L.Response of a rigid foundation to a spatially random ground motion[J].Earthquake Engineering and Structural Dynamics,1986,14(6):891―908.
[8]Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1array data[J].Nuclear Engineering Design,1989,111(3):293―310.
[9]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55―62.Qu Tiejun,Wang Junjie,Wang Qianxin.A practical model for the power spectrum of spatially variant ground motion[J].Acta Seismologica Sinica,1996,18(1):55―62.
[10]刘先明,叶继红,李爱群.竖向地震动场的空间相干函数模型[J].工程力学,2004,21(2):140―144.Liu Xianming,Ye Jihong,Li Aiqun.Space coherency function model of vertical ground motion[J].Engineering Mechanics,2004,21(2):140―144.(in Chinese)
[2]Lin J H,Zhang Y H,Li Q S,Williams F W.Seismic spatial effects for long-span bridges,using the pseudo excitation method[J].Engineering Structures,2004,26(9):1207―1216.
[3]Heredia-zavoni E,Vanmarcke E H.Seismic randomvibration analysis of multi-support structural systems[J].Journal of Engineering Mechanic,ASCE,1994,120(5):1107―1128.
[4]Su L,Dong S L,Kato S.A new average response spectrum method for linear response analysis of structures to spatial earthquake ground motions[J].Engineering Structures,2006,28(13):1835―1842.
[5]Clough R W,Penzien J.Dynamics of structures[M].3rd ed.New York:Mc Graw Hill,1993:455―458.
[6]孙景江,江近仁.与规范反应谱相对应的金井清谱的谱参数[J].世界地震工程,1990,8(1):42―48.Sun Jingjiang,Jiang Jinren.Parameters of Kanai-Tajimi power spectrum according to the response spectrum of Chinese code[J].World Information on Earthquake Engineering,1990,8(1):42―48.
[7]Luco J E,Wong H L.Response of a rigid foundation to a spatially random ground motion[J].Earthquake Engineering and Structural Dynamics,1986,14(6):891―908.
[8]Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1array data[J].Nuclear Engineering Design,1989,111(3):293―310.
[9]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55―62.Qu Tiejun,Wang Junjie,Wang Qianxin.A practical model for the power spectrum of spatially variant ground motion[J].Acta Seismologica Sinica,1996,18(1):55―62.
[10]刘先明,叶继红,李爱群.竖向地震动场的空间相干函数模型[J].工程力学,2004,21(2):140―144.Liu Xianming,Ye Jihong,Li Aiqun.Space coherency function model of vertical ground motion[J].Engineering Mechanics,2004,21(2):140―144.(in Chinese)
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